Space (mathematics)/Related Articles

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A list of Citizendium articles, and planned articles, about Space (mathematics).
See also changes related to Space (mathematics), or pages that link to Space (mathematics) or to this page or whose text contains "Space (mathematics)".

Parent topics

  • Mathematics [r]: The study of quantities, structures, their relations, and changes thereof. [e]

Subtopics

  • Topological space [r]: A mathematical structure (generalizing some aspects of Euclidean space) defined by a family of open sets. [e]
  • Affine space [r]: Collection of points, none of which is special; an n-dimensional vector belongs to any pair of points. [e]
  • Vector space [r]: A set of vectors that can be added together or scalar multiplied to form new vectors [e]
  • Metric space [r]: Any topological space which has a metric defined on it. [e]
  • Uniform space [r]: Topological space with additional structure which is used to define uniform properties such as completeness, uniform continuity and uniform convergence. [e]
  • Normed space [r]: A vector space that is endowed with a norm. [e]
  • Inner product space [r]: A vector space that is endowed with an inner product and the corresponding norm. [e]
  • Banach space [r]: A vector space endowed with a norm that is complete. [e]
  • Hilbert space [r]: A complete inner product space. [e]
  • Manifold (geometry) [r]: An abstract mathematical space. [e]
  • Measurable space [r]: Set together with a sigma-algebra of subsets of this set. [e]
  • Measure space [r]: Set together with a sigma-algebra of subsets of the set and a measure defined on this sigma-algebra. [e]

Other related topics

  • Geometry [r]: The mathematics of spacial concepts. [e]